{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sampling Novel Body Poses from VPoser\n",
    "![alt text](https://github.com/nghorbani/human_body_prior/raw/845ad715b82bbd1a4e4772b23a0b7e4cd92203c6/github_data/latent_interpolation_1.gif \"Interpolation of novel poses on the smoother VPoser latent space.\")\n",
    "\n",
    "You can use VPoser to produce novel random poses. \n",
    "This generative model can be potentially used as a synthetic data generator to train other models.\n",
    "\n",
    "For this task, you would first need to obtain a trained VPoser from https://smpl-x.is.tue.mpg.de/downloads .\n",
    "Put the downloaded model in a folder, here we assume \n",
    "\n",
    "'GITHUB_CLONE_ROOT/human_body_prior/support_data/dowloads/vposer_vXX', \n",
    "\n",
    "and afterwards you can use the following code snippet to sample new poses: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set up environment\n",
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "%matplotlib notebook\n",
    "%matplotlib inline\n",
    "\n",
    "import torch\n",
    "import numpy as np\n",
    "\n",
    "from body_visualizer.tools.vis_tools import render_smpl_params\n",
    "from body_visualizer.tools.vis_tools import imagearray2file, show_image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "../support_data/dowloads/vposer_v2_05\n",
      "../support_data/dowloads/models/smplx/neutral/model.npz\n"
     ]
    }
   ],
   "source": [
    "#This tutorial requires 'vposer_v2_05'\n",
    "\n",
    "from os import path as osp\n",
    "support_dir = '../support_data/dowloads'\n",
    "expr_dir = osp.join(support_dir,'vposer_v2_05') #'TRAINED_MODEL_DIRECTORY'  in this directory the trained model along with the model code exist\n",
    "bm_fname =  osp.join(support_dir,'models/smplx/neutral/model.npz')#'PATH_TO_SMPLX_model.npz'  obtain from https://smpl-x.is.tue.mpg.de/downloads\n",
    "\n",
    "print(expr_dir)\n",
    "print(bm_fname)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Loading SMPLx Body Model\n",
    "from human_body_prior.body_model.body_model import BodyModel\n",
    "\n",
    "bm = BodyModel(bm_fname=bm_fname).to('cuda')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "#Loading VPoser Body Pose Prior\n",
    "from human_body_prior.tools.model_loader import load_model\n",
    "from human_body_prior.models.vposer_model import VPoser\n",
    "vp, ps = load_model(expr_dir, model_code=VPoser,\n",
    "                              remove_words_in_model_weights='vp_model.',\n",
    "                              disable_grad=True)\n",
    "vp = vp.to('cuda')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x1200 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "num_poses = 9 # number of body poses in each batch\n",
    "\n",
    "sampled_pose_body = vp.sample_poses(num_poses=num_poses)['pose_body'].contiguous().view(num_poses, -1) # will a generate Nx1x21x3 tensor of body poses \n",
    "images = render_smpl_params(bm, {'pose_body':sampled_pose_body}).reshape(3,3,1,400,400,3)\n",
    "img = imagearray2file(images)\n",
    "show_image(np.array(img[0]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Each column of the first row of the above image are the novel poses, and the following rows are varied rotations for\n",
    "demonstration purpose so that you can see the generated body from different angles."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# VPoser Latent Space Interpolation\n",
    "You can go one step further and investigate the smoothness of the latent space of VPoser.\n",
    "To do this you sample two poses poZ<sub>1</sub> and poZ<sub>2</sub> and then use &alpha; &in; [0.,1.] to change the influence \n",
    "of each on the interpolated poZ<sub>inp</sub>, e.g.\n",
    " \n",
    "poZ<sub>inp</sub> = &alpha; * poZ<sub>1</sub> + (1-&alpha;)* poZ<sub>2</sub>.\n",
    "\n",
    "The header animations show the video of body poses that are result of decoding corresponding varying poZ<sub>inp</sub> values.\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7"
  }
 },
 "nbformat": 4,
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}